1000031472 has 120 divisors (see below), whose sum is σ = 3071053440. Its totient is φ = 301261440.

The previous prime is 1000031437. The next prime is 1000031519. The reversal of 1000031472 is 2741300001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281773 + ... + 285299.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^1000031472 is an apocalyptic number.

1000031472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

1000031472 is an abundant number, since it is smaller than the sum of its proper divisors (2071021968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000031472 is a wasteful number, since it uses less digits than its factorization.

1000031472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1000031472 is about 31623.2742137812. The cubic root of 1000031472 is about 1000.0104905566.

Adding to 1000031472 its reverse (2741300001), we get a palindrome (3741331473).

It can be divided in two parts, 100003 and 1472, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 1000031472 in words is "one billion, thirty-one thousand, four hundred seventy-two".